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Nonbinary quantum codes derived from finite geometries - MaRDI portal

Nonbinary quantum codes derived from finite geometries (Q661977)

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scientific article; zbMATH DE number 6005616
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English
Nonbinary quantum codes derived from finite geometries
scientific article; zbMATH DE number 6005616

    Statements

    Nonbinary quantum codes derived from finite geometries (English)
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    11 February 2012
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    Quantum stabilizer codes play a similar role in quantum communication that block codes play in classical electronic communication. Recent results show how to construct quantum codes from classical \([n,k,d]\) codes over the field of order \(q\). The authors use these results and designs associated with finite affine and projective geometries to construct several infinite families of \(q\)-ary quantum stabilizer codes and give explicit parameters for these codes.
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    combinatorial design
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    finite geometry
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    error-correcting code
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    quantum code
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    quantum stabilizer code
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    quantum communication
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